22128 has 20 divisors (see below), whose sum is σ = 57288. Its totient is φ = 7360.

The previous prime is 22123. The next prime is 22129. The reversal of 22128 is 82122.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 278.

2²²¹²⁸ is an apocalyptic number.

It is an amenable number.

22128 is an abundant number, since it is smaller than the sum of its proper divisors (35160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644).

22128 is a wasteful number, since it uses less digits than its factorization.

22128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 22128 is about 148.7548318543. The cubic root of 22128 is about 28.0746308352.

The spelling of 22128 in words is "twenty-two thousand, one hundred twenty-eight".